Miraculous World of Numbers is an eBook on Mathematical Fun. It has so many creative ideas to develop the skills & to increase the Thinking power. Along with this eBook I would like to encourage Students & Parents how they can participate to build the entire world with powerful thinking level. My Blogs will definitely encourage students & parents in this direction.

Thursday, July 30, 2015

91-Magic Square Software (5 x 5) part-3

This is the third part of the 5x5 magic square software.You can enter any 5 numbers between -9999 to 9999 (actually you can enter any number, but for the betterment of the look of the sheet, this restriction is implemented in the software) of your choice in the first row. The software will give you two different magic squares with your chosen numbers are in 1 st row. These two magic squares have 120 types of same addition. Now the software is uploaded and ready to use.

Rows

5

Columns

5

Diagonals

2

Broken Diagonals

8

Different Patterns

100

Total

120

Click the following button for the software of magic squares of order 5 x 5.

Now we will see all the properties of 5 x 5 magic squares one by one. Let us see the magic squares in which we choose the first row with the numbers as 9, 21, 34, 45 and 56. Following two magic squares will be obtained by the software.

Now in continuation of the previous blogs (Blog-99) and (Blog-100), we will see remaining types of addition:

In the previous blogs (99 and 100), we have studied the following points.

1) Addition of all the numbers in the Rows: (1 to 5)

2) Addition of all the numbers in the Columns: (6 to 10)

3) Addition of all the numbers in the Diagonals: (11 to 12)

4) Addition of all the numbers in the Broken Diagonals: (13 to 20)

5) Addition of all the numbers in different pattern 01 : (21 to 45)

Here we define some names to the elements available in the cells of the magic square.

Let us define A11as the element at 1st row 1st column. Similarly, the element at the 3rd row and 4th column will be defined as A34.

a) First element at First row Pattern A1 : (21-25/45)

Here, the addition of all the numbers placed at these places is the same and it is 165.

b) First element at Second-row Pattern A2 : (26-30/45)

Here, the addition of all the numbers placed at these places is the same and it is 165.

c) First element at Third-row Pattern A3 : (31-35/45)

Here, the addition of all the numbers placed at these places is the same and it is 165.

d) First element at Forth row Pattern A4 : (36-40/45)

Here, the addition of all the numbers placed at these places is the same and it is 165.

e) First element at Fifth row Pattern A5 : (40-45/45)

Here, the addition of all the numbers placed at these places is the same and it is 165.

6) Addition of all the numbers in different pattern 02 : (46 to 70)

a) First element at First row Pattern A1 : (46-50/70)

Here, the addition of all the numbers placed at these places is the same and it is 165.

b) First element at Second-row Pattern A2 : (51-55/70)

Here, the addition of all the numbers placed at these places is the same and it is 165.

c) First element at Third-row Pattern A3 : (56-60/70)

Here, the addition of all the numbers placed at these places is the same and it is 165.

d) First element at Forth row Pattern A4 : (61-65/70)

Here, the addition of all the numbers placed at these places is the same and it is 165.

e) First element at Fifth row Pattern A5 : (66-70/70)

Here, the addition of all the numbers placed at these places is the same and it is 165.

7) Addition of all the numbers in different pattern 03 : (71 to 95)

a) First element at First row Pattern A1 : (71-75/95)

Here, the addition of all the numbers placed at these places is the same and it is 165.

b) First element at Second-row Pattern A2 : (76-80/95)

Here, the addition of all the numbers placed at these places is the same and it is 165.

c) First element at Third-row Pattern A3 : (81-85/95)

Here, the addition of all the numbers placed at these places is the same and it is 165.

d) First element at Forth row Pattern A4 : (86-90/95)

Here, the addition of all the numbers placed at these places is the same and it is 165.

e) First element at Fifth row Pattern A5 : (91-95/95)

Here, the addition of all the numbers placed at these places is the same and it is 165.

8) Addition of all the numbers in different pattern 04 : (96 to 120)

a) First element at First row Pattern A1 : (96-100/120)

Here, the addition of all the numbers placed at these places is the same and it is 165.

b) First element at Second-row Pattern A2 : (101-105/120)

Here, the addition of all the numbers placed at these places is the same and it is 165.

c) First element at Third-row Pattern A3 : (106-110/120)

Here, the addition of all the numbers placed at these places is the same and it is 165.

d) First element at Forth row Pattern A4 : (111-115/120)

Here, the addition of all the numbers placed at these places is the same and it is 165.

e) First element at Fifth row Pattern A5 : (116-120/120)

Here, the addition of all the numbers placed at these places is the same and it is 165.

Now you can observe all the above 120 additions for your two magic squares prepared by using the following software. here their first rows will be of 5 numbers of your choice.Click here for 5x5 magic square software. and click here to see the calculation sheet of your magic squares

Translate

Search This Blog

About Me

1) Published "Satpute's Differential Equation" and "Satpute's square formula" in the 45th conference of IMS in December 1979.

2) "Satpute's Differential Equation" was acknowledged for group discussion in 15th International Congress of Theoretical and Applied Mechanics at Toronto (August 1980)

3) "Miraculous World of Numbers", an e-Book will be published soon.

4) I would like to encourage Students & Parents to participate to build the entire world with powerful thinking level. My Blogs on mathematics will definitely encourage students & parents in this direction.

5) I Presented my research paper entitled "New Concept of Learning Mathematics" in "20th International Conference on Interactive Collaborative Learning and 46th IGIP International Conference on Engineering Pedagogy" (ICL2017) which was held at Budapest, Hungary on 28th September 2017 and the paper is published in Springer (International Journal). Click on the following link.